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Finding the Fourth Proportional to 1,959.98, 2,938.78 and 920.21

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Solution

The fourth proportional to 1,959.98, 2,938.78 and 920.21 is: 1,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.98 : 2,938.78 = 920.21 : x
  2. Step 2: Convert to fraction form
    1,959.98/2,938.78 = 920.21/x
  3. Step 3: Cross multiply
    1,959.98x = 2,938.78 × 920.21
  4. Step 4: Simplify right side
    1,959.98x = 2,704,280.05
  5. Step 5: Solve for x
    x = 2,704,280.05/1,959.98
  6. Step 6: Final answer
    x = 1,379.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.